52013088 has 72 divisors (see below), whose sum is σ = 148641948. Its totient is φ = 17252352.

The previous prime is 52013077. The next prime is 52013107. The reversal of 52013088 is 88031025.

It is a happy number.

52013088 is a `hidden beast` number, since 520 + 130 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52012944 + 144 = 7212^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×52013088² = 5410722646591488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89856 + ... + 90432.

Almost surely, 2^52013088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52013088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74320974).

52013088 is an abundant number, since it is smaller than the sum of its proper divisors (96628860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52013088 is a wasteful number, since it uses less digits than its factorization.

52013088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52013088 is about 7212.0099833542. The cubic root of 52013088 is about 373.2824278664.

The spelling of 52013088 in words is "fifty-two million, thirteen thousand, eighty-eight".